How to Find GCF of 8350/777, 4425/737?

GCF of 8350/777, 4425/737

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 8350/777, 4425/737 i.e 25/572649 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8350/777, 4425/737.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 8350/777,4425/737?

Given fractions are 8350/777,4425/737

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 8350/777,4425/737, numerators are 8350,4425

Denominators are 777,737

The GCF of 8350,4425 is 25 .

LCM of 777,737 is 572649.

The greatest common factor of 8350/777,4425/737 = [GCF of 8350,4425]/[LCM of 777,737]= 25/572649

Therefore, the GCF of 8350/777,4425/737 is 25/572649.

Greatest Common Factor of 8350,4425

To find the highest common factor of 8350,4425, we have to find the factors of both numbers and list the highest common factor.

The factors of 8350 are 1, 2, 5, 10, 25, 50, 167, 334, 835, 1670, 4175, 8350

The factors of 4425 are 1, 3, 5, 15, 25, 59, 75, 177, 295, 885, 1475, 4425

The HCF of 8350,4425 is 25.

Lets's calculate GCF of 8350,4425

Greatest Common Factor (GCF) of 8350,4425 By Common Division

5	8350, 4425
5	1670, 885
	334, 177

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 8350,4425 By Matching Biggest Common Factor Method

Now, list down the factors of 8350

1,2,5,10,25,50,167,334,835,1670,4175,8350

Now, list down the factors of 4425

1,3,5,15,25,59,75,177,295,885,1475,4425

Greatest Common Factor

We found the factors 8350,4425 . The biggest common factor number is the GCF number.
So the greatest common factor 8350,4425 is 25.

Lets's calculate LCM of 777,737

Lowest Common Multiple of 777,737 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 572649

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/572649

Therefore, the GCF of Fractions 8350/777,4425/737 is 25/572649

Least Common Multiple of 777,737 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 777,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,737) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(777,737) x common factors =1 x 1 = 1

LCM(777,737) = ( 777 × 737 ) / 1

LCM(777,737) = 572649 / 1

LCM(777,737) = 572649

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FAQs on GCF of Fractions of 8350/777, 4425/737

1. What is the HCF of 8350,4425?

The HCF of 8350,4425 is 25

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 8350/777, 4425/737?

Answer: GCF of Numerators as per given numbers 8350/777, 4425/737 is

GCF of Numerators i.e. for 8350,4425 is 25

LCM of denominators i.e. for 777,737 is 572649.

Thus, GCF of Fractions is 25/572649.Finally, GCF of Fractions for 8350/777, 4425/737 is 25/572649.